Singular TQFTs, foams and type D arc algebras

Michael Ehrig; Daniel Tubbenhauer; Arik Wilbert

doi:10.25537/dm.2019v24.1585-1655

Singular TQFTs, foams and type D arc algebras

Michael Ehrig, Daniel Tubbenhauer, Arik Wilbert

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We combinatorially describe the 2-category of singular cobordisms, called (rank one) foams, which governs the functorial versionof Khovanov homology. As an application we topologically realizethe type D arc algebra using this singular cobordism construction.

Original language	English
Pages (from-to)	1585-1655
Number of pages	71
Journal	Documenta Mathematica
Volume	24
DOIs	https://doi.org/10.25537/dm.2019v24.1585-1655
Publication status	Published - 2019

Keywords

Cobordism/foam categories
Functorial khovanov homology
Lie type D
Singular TQFTs
Web/arc algebras

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10.25537/dm.2019v24.1585-1655

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abstract = "We combinatorially describe the 2-category of singular cobordisms, called (rank one) foams, which governs the functorial versionof Khovanov homology. As an application we topologically realizethe type D arc algebra using this singular cobordism construction.",

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AU - Wilbert, Arik

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PY - 2019

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KW - Singular TQFTs

KW - Web/arc algebras

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Singular TQFTs, foams and type D arc algebras

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